Fermat's spiral

Theory of numbers: Fermat's theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove Fermat's theorem a^p = a mod p. We then define the order of a number mod p and use Fermat's theorem to show the order of a divides p-1. We apply this to testing some Fermat and Mersenne numbers to se

From playlist Theory of numbers

Newton's method and algebraic curves | Real numbers and limits Math Foundations 86 | N J Wildberger

Newton's method can be extended to meets of algebraic curves. We show how, using the examples of the Fermat curve and the Lemniscate of Bernoulli. We start by finding the Taylor expansions of the associated polynomials (polynumbers) at a fixed point (r,s) in the plane. The first tangents

From playlist Math Foundations

Fermat Spirals for Layered 3D Printing | Two Minute Papers #77

The paper "Connected Fermat Spirals for Layered Fabrication" is available here: http://irc.cs.sdu.edu.cn/html/2016/2016_0519/222.html The ThatsMaths article on sunflowers + paper "Fibonacci patterns: common or rare?" is available here: https://thatsmaths.com/2014/06/05/sunflowers-and-fibo

From playlist 3D Printing / 3D Fabrication

Weil conjectures 4 Fermat hypersurfaces

This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. T

From playlist Algebraic geometry: extra topics

Fermat's little theorem

In this video we introduce Fermat's little theorem and give a proof using congruences. The content of this video corresponds to Section 7.2 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/

From playlist Number Theory and Geometry

What was Fermat’s “Marvelous" Proof? | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi If Fermat had a little more room in his margin, what proof would he have written there? Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! p

From playlist An Infinite Playlist

How was it Made? Jacquard weaving

From playlist Engineering

35a: The loneliest number - Richard Buckland UNSW

This is the first part of Lecture 35 in Computing2: The Science of Computer Science aka Comp1927 Data Structures and Algorithms.

From playlist CS2: Data Structures and Algorithms - Richard Buckland

Why Does Light REALLY Bend?

A lot of optical illusions can be explained by Fermat's principle of least time, but why does light obey it? On a fundamental level, it all comes down to quantum mechanics, specifically quantum optics, where we use the famous "Feynman path integral formulation" to explain light through pho

From playlist Optics and Light

Gerhard Wanner : On the discovery of Lagrange multipliers

From playlist Lagrange Days at CIRM

Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion

In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. 00:00 Intro 07:07 Pythagorean triple tree 13:44 Pythagoras's other tree 16:02 Feuerbach miracle 24

From playlist Recent videos

How to prove Fermat's Last Theorem in under 7 seconds

How to prove Fermat's Last Theorem in under 7 seconds

From playlist My Maths Videos

Mathematics is all about SHORTCUTS - Numberphile

Featuring Marcus du Sautoy from Oxford University. Check his latest book "Thinking Better: The Art of the Shortcut" Links & stuff in full description below ↓↓↓ Marcus's new book on Amazon here: https://amzn.to/3xrujmS (US) https://amzn.to/3jmBJD1 (UK) Marcus on the Numberphile Podcast: h

From playlist Marcus Du Sautoy on Numberphile

Beautiful pattern hidden in nature

Complex patterns seen in nature can be generated from relatively simple equations and a golden angle. #shorts #math #maths #mathematics Song credits Song: Sunflower (Spider-Man: Into the Spider-Verse) Artist: Post Malone, Swae Lee Album: Sunflower https://youtu.be/ApXoWvfEYVU References

From playlist Math Shorts

Curves from Antiquity | Algebraic Calculus One | Wild Egg

We begin a discussion of curves, which are central objects in calculus. There are different kinds of curves, coming from geometric constructions as well as physical or mechanical motions. In this video we look at classical curves that go back to antiquity, such as prominently the conic sec

From playlist Algebraic Calculus One from Wild Egg

All possible pythagorean triples, visualized

To understand all pythagorean triples like (3, 4, 5), (5, 12, 13), etc. look to complex numbers. This video was sponsored by Remix: https://www.remix.com/jobs Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the v

From playlist Neat proofs/perspectives

Fermat's Last Theorem - Numberphile

Simon Singh on Fermat's Last Theorem. Simpsons book: http://amzn.to/1fKe4Yo Fermat book: http://amzn.to/1jWqMTa More links & stuff in full description below ↓↓↓ EXTRA FOOTAGE: http://youtu.be/FXbsIbRVios FERMAT IN SIMPSONS: http://youtu.be/ReOQ300AcSU Interview with Ken Ribet, who played

From playlist Numberphile Videos

Fermat’s HUGE little theorem, pseudoprimes and Futurama

A LOT of people have heard about Andrew Wiles solving Fermat's last theorem after people trying in vain for over 350 years. Today's video is about Fermat's LITTLE theorem which is at least as pretty as its much more famous bigger brother, which has a super pretty accessible proof and which

From playlist Recent videos

Euler's and Fermat's last theorems, the Simpsons and CDC6600

NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) This video is about Fermat's last theorem and Euler's conjecture, a vast but not very well-known genera

From playlist Recent videos

Primality (1 of 2: Fermat's Test)

From playlist Cryptography